Persons: Olshanetsky, Mikhail Aronovich

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Olshanetsky, Mikhail Aronovich

Statistics Math-Net.Ru
Total publications:	51
Scientific articles:	49
Presentations:	4

Number of views:
This page:	4398
Abstract pages:	19801
Full texts:	7478
References:	2012

Doctor of physico-mathematical sciences (1983)

Speciality:

01.01.03 (Mathematical physics)

Birth date:

27.08.1938

E-mail:

Website:

https://wwwth.itep.ru

Keywords:

integrable systems, Hitchin systems, representation theory.

UDC:

517.58

Subject:

Integrable systems.

Main publications:

M. Olshanetsky, “Elliptic hydrodynamics and quadratic algebra of vector fields on a torus”, Theor. Math. Phys., 150 (2007), 355–370
Yu. Chernyakov, A. M. Levin, M. Olshanetsky, A. Zotov, “Elliptic Schlesinger system and Painlevé VI”, Journ. Physics A, 39 (2006), 12083–120102
A. Levin, M. Olshanetsky, A. Zotov, “Painleve VI”, Rigid Tops and Reflection Equation, 268 (2006), 67–103
M. Olshanetsky, “Universality of Calogero-Moser model”, J. Nonlin. Math. Phys., 12 (2005), 522–534
A. Levin, M. Olshanetsky, A. Zotov, “Hitchin Systems - Symplectic Hecke Correspondence and Two-dimensional Version”, Comm. Math. Phys., 236 (2003), 93–133

https://www.mathnet.ru/eng/person8471

List of publications on Google Scholar

https://zbmath.org/authors/ai:olshanetsky.mikhail-a

https://mathscinet.ams.org/mathscinet/MRAuthorID/189814

	Publications in Math-Net.Ru	Citations
	2022
1.	A. Levin, M. Olshanetsky, A. Zotov, “2D Integrable systems, 4D Chern–Simons theory and affine Higgs bundles”, Eur. Phys. J. C, Part. Fields, 82 (2022), 635–14	5
	2021
2.	A. Levin, M. Olshanetsky, A. Zotov, “Generalizations of parabolic Higgs bundles, real structures, and integrability”, J. Math. Phys., 62:10 (2021), 103502, 28 pp.	1
3.	M. A. Olshanetsky, “Integrable extensions of classical elliptic integrable systems”, TMF, 208:2 (2021), 245–260 ; Theoret. and Math. Phys., 208:2 (2021), 1061–1074
	2020
4.	A. Levin, M. Olshanetsky, A. Zotov, “Odd supersymmetric Kronecker elliptic function and Yang–Baxter equations”, J. Math. Phys., 61 (2020), 103504, 9 pp.
5.	A. Levin, M. Olshanetsky, A. Zotov, “Odd supersymmetrization of elliptic $R$-matrices”, J. Phys. A, 53:18 (2020), 185202, 16 pp.	1
	2019
6.	Yu. Chernyakov, S. Kharchev, A. Levin, M. Olshanetsky, A. Zotov, “Generalized Calogero and Toda models”, Pis'ma v Zh. Èksper. Teoret. Fiz., 109:2 (2019), 131–138 ; JETP Letters, 109:2 (2019), 136–143
	2018
7.	S. Kharchev, A. Levin, M. Olshanetsky, A. Zotov, “Quasi-compact Higgs bundles and Calogero–Sutherland systems with two types of spins”, J. Math. Phys., 59:10 (2018), 103509, 36 pp.	11
	2017
8.	S. Kharchev, A. Levin, M. Olshanetsky, A. Zotov, “Calogero–Sutherland system with two types interacting spins”, Pis'ma v Zh. Èksper. Teoret. Fiz., 106:3 (2017), 173–174 ; JETP Letters, 106:3 (2017), 179–183	6
	2016
9.	Andrey Levin, Mikhail Olshanetsky, Andrei Zotov, “Noncommutative extensions of elliptic integrable Euler–Arnold tops and Painlevé VI equation”, J. Phys. A, 49:39 (2016), 395202, 26 pp.	12
10.	A. Levin, M. Olshanetsky, A. Zotov, “Yang–Baxter equations with two Planck constants”, J. Phys. A, 49:1 (2016), 14003, 19 pp.	7
11.	A. M. Levin, M. A. Olshanetsky, A. V. Zotov, “Geometry of Higgs bundles over elliptic curves related to automorphisms of simple Lie algebras, Calogero–Moser systems, and KZB equations”, TMF, 188:2 (2016), 185–222 ; Theoret. and Math. Phys., 188:2 (2016), 1121–1154
	2015
12.	G. Aminov, A. Levin, M. Olshanetsky, A. Zotov, “Classical integrable systems and Knizhnik–Zamolodchikov–Bernard equations”, Pis'ma v Zh. Èksper. Teoret. Fiz., 101:9 (2015), 723–729 ; JETP Letters, 101:9 (2015), 648–655
13.	A. M. Levin, M. A. Olshanetsky, A. V. Zotov, “Quantum Baxter–Belavin $R$-matrices and multidimensional Lax pairs for Painlevé VI”, TMF, 184:1 (2015), 41–56 ; Theoret. and Math. Phys., 184:1 (2015), 924–939	19
	2014
14.	A. Levin, M. Olshanetsky, A. Zotov, “Planck constant as spectral parameter in integrable systems and KZB equations”, JHEP, 2014, no. 10, 109, 29 pp.	22
15.	A. Levin, M. Olshanetsky, A. Zotov, “Relativistic classical integrable tops and quantum $R$-matrices”, JHEP, 2014, no. 7, 012, 39 pp.	30
16.	A. Levin, M. Olshanetsky, A. Zotov, “Classical integrable systems and soliton equations related to eleven-vertex $R$-matrix”, Nuclear Phys. B, 887 (2014), 400–422	20
17.	A. M. Levin, M. A. Olshanetsky, A. V. Zotov, “Classification of isomonodromy problems on elliptic curves”, Uspekhi Mat. Nauk, 69:1(415) (2014), 39–124 ; Russian Math. Surveys, 69:1 (2014), 35–118	18
	2013
18.	A. Levin, M. Olshanetsky, A. Smirnov, A. Zotov, “Characteristic classes of $\mathrm{SL}(N,\mathbb{C})$-bundles and quantum dynamical elliptic $R$-matrices”, J. Phys. A, 46:3 (2013), 35201, 25 pp.	17
	2012
19.	A. Levin, M. Olshanetsky, A. Smirnov, A. Zotov, “Characteristic classes and Hitchin systems. General construction”, Comm. Math. Phys., 316:1 (2012), 1–44	18
20.	A. Levin, M. Olshanetsky, A. Smirnov, A. Zotov, “Calogero–Moser systems for simple Lie groups and characteristic classes of bundles”, J. Geom. Phys., 62:8 (2012), 1810–1850	18
21.	Andrey M. Levin, Mikhail A. Olshanetsky, Andrey V. Smirnov, Andrei V. Zotov, “Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-Trivial Bundles”, SIGMA, 8 (2012), 095, 37 pp.	10
	2009
22.	Andrey M. Levin, Mikhail A. Olshanetsky, Andrei V. Zotov, “Monopoles and Modifications of Bundles over Elliptic Curves”, SIGMA, 5 (2009), 065, 22 pp.	9
	2008
23.	A. V. Zotov, A. M. Levin, M. A. Olshanetsky, Yu. B. Chernyakov, “Quadratic algebras related to elliptic curves”, TMF, 156:2 (2008), 163–183 ; Theoret. and Math. Phys., 156:2 (2008), 1103–1122	16
	2007
24.	M. A. Olshanetsky, “Elliptic hydrodynamics and quadratic algebras of vector fields on a torus”, TMF, 150:3 (2007), 355–370 ; Theoret. and Math. Phys., 150:3 (2007), 301–314	1
	2005
25.	M. A. Olshanetsky, V.-B. K. Rogov, “dS–AdS Structures in Noncommutative Minkowski Spaces”, TMF, 144:3 (2005), 513–543 ; Theoret. and Math. Phys., 144:3 (2005), 1315–1343
	2003
26.	M. A. Olshanetsky, “The large $N$ limits of integrable models”, Mosc. Math. J., 3:4 (2003), 1307–1331	3
	2002
27.	M. A. Olshanetsky, V.-B. K. Rogov, “Unitary Representations of the Quantum Lorentz Group and Quantum Relativistic Toda Chain”, TMF, 130:3 (2002), 355–382 ; Theoret. and Math. Phys., 130:3 (2002), 299–322	7
	2001
28.	M. A. Olshanetsky, “Solutions of the Periodic Toda Lattice by the Projection and the Algebraic-Geometric Methods”, TMF, 128:3 (2001), 461–473 ; Theoret. and Math. Phys., 128:3 (2001), 1225–1235
	2000
29.	A. M. Levin, M. A. Olshanetsky, “Nonautonomous Hamiltonian systems related to higher Hitchin integrals”, TMF, 123:2 (2000), 237–263 ; Theoret. and Math. Phys., 123:2 (2000), 609–632	3
	1999
30.	M. A. Olshanetsky, V.-B. K. Rogov, “The $q$-Fourier transformation of $q$-generalized functions”, Mat. Sb., 190:5 (1999), 93–112 ; Sb. Math., 190:5 (1999), 717–735	5
	1997
31.	M. A. Olshanetsky, V.-B. K. Rogov, “$q$-integral representations of modified $q$-Bessel functions and $q$-Macdonald functions”, Mat. Sb., 188:8 (1997), 125–148 ; Sb. Math., 188:8 (1997), 1235–1258	2
	1996
32.	M. A. Olshanetsky, V.-B. K. Rogov, “Modified $q$-Bessel functions and $q$-Macdonald functions”, Mat. Sb., 187:10 (1996), 109–128 ; Sb. Math., 187:10 (1996), 1525–1544	7
	1994
33.	M. I. Golenishcheva-Kutuzova, D. R. Lebedev, M. A. Olshanetsky, “Between $\widehat {gl}(\infty )$ and $\widehat {sl}_N$ affine algebras I. Geometrical actions”, TMF, 100:1 (1994), 82–96 ; Theoret. and Math. Phys., 100:1 (1994), 863–873	2
	1993
34.	M. A. Olshanetsky, “Scattering of clusters in quantum calogero model”, TMF, 95:2 (1993), 341–347 ; Theoret. and Math. Phys., 95:2 (1993), 626–631	2
	1990
35.	M. A. Olshanetsky, “Quantum-mechanical calculation of the orders of finite simple groups of Lie type”, TMF, 82:3 (1990), 366–379 ; Theoret. and Math. Phys., 82:3 (1990), 256–266	2
	1989
36.	Ya. I. Kogan, D. G. Markushevich, A. Yu. Morozov, M. A. Olshanetsky, A. M. Perelomov, A. A. Roslyi, “Some examples of instantons in sigma models”, TMF, 79:2 (1989), 185–197 ; Theoret. and Math. Phys., 79:2 (1989), 470–478
	1988
37.	D. G. Markushevich, M. A. Olshanetsky, A. M. Perelomov, “Ricci-flat compactifications in superstring theory and coxeter automorphisms. II”, TMF, 77:3 (1988), 352–368 ; Theoret. and Math. Phys., 77:3 (1988), 1247–1259
38.	D. G. Markushevich, M. A. Olshanetsky, A. M. Perelomov, “Ricci-flat compactifications in superstring theory and Coxeter automorphisms. I”, TMF, 77:2 (1988), 212–223 ; Theoret. and Math. Phys., 77:2 (1988), 1152–1160	1
	1987
39.	M. A. Olshanetsky, A. M. Perelomov, A. G. Reiman, M. A. Semenov-Tian-Shansky, “Integrable systems. II”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 16 (1987), 86–226	30
40.	M. A. Olshanetsky, V.-B. K. Rogov, “Adjoint representations of exceptional Lie algebras”, TMF, 72:1 (1987), 3–11 ; Theoret. and Math. Phys., 72:1 (1987), 679–685
	1983
41.	M. A. Olshanetsky, “Wave functions of quantum integrable systems”, TMF, 57:1 (1983), 148–153 ; Theoret. and Math. Phys., 57:1 (1983), 1048–1052	1
	1982
42.	M. A. Olshanetsky, “A short guide to modern geometry for physicists”, UFN, 136:3 (1982), 421–433 ; Phys. Usp., 25:3 (1982), 123–129	4
	1980
43.	M. A. Olshanetsky, A. M. Perelomov, “The Toda chain as a reduced system”, TMF, 45:1 (1980), 3–18 ; Theoret. and Math. Phys., 45:1 (1980), 843–854	15
	1978
44.	M. A. Olshanetsky, A. M. Perelomov, “Quantum systems related to root systems, and radial parts of Laplace operators”, Funktsional. Anal. i Prilozhen., 12:2 (1978), 57–65 ; Funct. Anal. Appl., 12:2 (1978), 121–128	33
	1977
45.	M. A. Olshanetsky, A. M. Perelomov, “Explicit solutions of some completely integrable Hamiltonian systems”, Funktsional. Anal. i Prilozhen., 11:1 (1977), 75–76 ; Funct. Anal. Appl., 11:1 (1977), 66–68	7
	1976
46.	M. A. Olshanetsky, A. M. Perelomov, “Geodesic flows on symmetric spaces of zero curvature and explicit solution of the generalized calogero model for the classical case”, Funktsional. Anal. i Prilozhen., 10:3 (1976), 86–87 ; Funct. Anal. Appl., 10:3 (1976), 237–239	9
	1972
47.	M. A. Olshanetsky, “The asymptotic behavior of spherical functions”, Uspekhi Mat. Nauk, 27:3(165) (1972), 211–212	1
48.	M. A. Olshanetsky, “Green's functions for the Laplace–Beltrami operator on symmetric spaces”, Uspekhi Mat. Nauk, 27:2(164) (1972), 179–180
	1969
49.	M. A. Olshanetsky, “The Martin boundary for the Laplace–Beltrami operator on a Riemannian symmetric space of nonpositive curvature”, Uspekhi Mat. Nauk, 24:6(150) (1969), 189–190

	2021
50.	V. M. Buchstaber, A. N. Varchenko, A. P. Veselov, P. G. Grinevich, S. Grushevsky, S. Yu. Dobrokhotov, A. V. Zabrodin, A. V. Marshakov, A. E. Mironov, N. A. Nekrasov, S. P. Novikov, A. Yu. Okounkov, M. A. Olshanetsky, A. K. Pogrebkov, I. A. Taimanov, M. A. Tsfasman, L. O. Chekhov, O. K. Sheinman, S. B. Shlosman, “Igor' Moiseevich Krichever (on his 70th birthday)”, Uspekhi Mat. Nauk, 76:4(460) (2021), 183–193 ; Russian Math. Surveys, 76:4 (2021), 733–743	1
	1991
51.	F. I. Karpelevich, A. U. Klimyk, L. M. Koganov, M. A. Olshanetsky, V.-B. K. Rogov, A. I. Rubinshtein, Ya. A. Smorodinskii, “Naum Yakovlevich Vilenkin (on his seventieth birthday)”, Uspekhi Mat. Nauk, 46:3(279) (1991), 215–217 ; Russian Math. Surveys, 46:3 (1991), 251–254

Presentations in Math-Net.Ru

1.	Classical 2d Integrable Systems and Gauge Theories M. A. Olshanetsky International Conference «Quantum Integrability and Geometry» Dedicated to 60th Anniversaries of N. A. Slavnov and L. O. Chekhov June 2, 2022 17:00
2.	Quasi-compact Higgs bundles and integrable systems M. Olshanetsky International conference «Integrable systems and applications» in honour of M. A. Olshanetsky 80-th birthday December 11, 2018 16:30
3.	Characteristic classes and Higgs bundles M. A. Olshanetsky, A. M. Levin International conference "ALGEBRAIC GEOMETRY: Methods, Relations, and Applications" dedicated to the 70th birthday anniversary of Andrei Nikolaevich Tyurin February 26, 2010 10:30
4.	Инстантоны и интегрируемые системы M. A. Olshanetsky Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS April 18, 2007 14:00

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